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Wittaler [7]
3 years ago
10

I need help answering this question for trig equations. Sec^2x+4secx=-4

Mathematics
1 answer:
aliina [53]3 years ago
3 0

Answer:

x = 120°

Step-by-step explanation:

We are given;

sec²x + 4secx = -4

Rearranging gives;

sec²x + 4secx + 4 = 0

Factorizing the left hand side gives;

(sec x + 2)(sec x + 2) = 0

This means that;

(sec x + 2) = 0

From trigonometry, we know that sec x = 1/cos x

Thus;

(1/cos x) + 2 = 0

1/cos x = -2

cos x = -1/2

cos x = -0.5

x = cos^(-1) -0.5

x = 120°

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Does the function model exponential growth or decay? f(t)=1/4⋅4^t
yarga [219]

Answer:

This is an exponential decay

Because the base of the exponent is 1/4.4 which is less than 1

Step-by-step explanation:

What is exponential growth?

when the base of our exponential is bigger than 1, which means those numbers get bigger.

What is exponential decay?

when the base of our exponential is in between 1 and 0 and those numbers get smaller.

6 0
3 years ago
What is 546 divided by 25 in long division
Phantasy [73]
    ·_21.21
25l546.     25 goes into 54 twice with a remainder of 4
    l50↓
    -----
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8 0
3 years ago
-5: -2; 1;<br><br>write the next 3 terms​
Nataly_w [17]

Answer:

Next 3 of the sequence are 4, 7, 10

You are adding by 3.

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5 0
3 years ago
Find the missing side.​
Vitek1552 [10]

Answer:

5

Step-by-step explanation:

This is a right triangle, but note that you only know the measurement of one angle, which is 90 degrees.

Use the following formula to solve:

a² + b² = c²

In which:

a & b = shorter sides

c = hypotenuse

Plug in the corresponding numbers to the corresponding variables:

(3)² + (4)² = ?²

Solve. Remember to follow PEMDAS. First, solve the exponents, then add:

(3)² = (3 * 3) = (9)

(4)² = (4 * 4) = (16)

9 + 16 = ?²

25 = ?²

Isolate "?". Root both sides:

√(25) = √(?²)

? = √25 = √(5 * 5) = 5

Your missing side's measurement is 5.

~

4 0
3 years ago
Read 2 more answers
A consumer survey conducted in two consecutive years found that a fixed basket of goods and services cost $36.00 in year 1 and $
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Answer:

0.021/yr or 2.1%/yr

Step-by-step explanation:

Find the quotient:

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This comes out to 1.021,

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7 0
3 years ago
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